Highest Common Factor of 8262, 7093 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 8262, 7093 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 8262, 7093 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 8262, 7093 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 8262, 7093 is 1.
HCF(8262, 7093) = 1
HCF of 8262, 7093 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 8262, 7093 is 1.
Highest Common Factor of 8262,7093 is 1
Step 1: Since 8262 > 7093, we apply the division lemma to 8262 and 7093, to get
8262 = 7093 x 1 + 1169
Step 2: Since the reminder 7093 ≠ 0, we apply division lemma to 1169 and 7093, to get
7093 = 1169 x 6 + 79
Step 3: We consider the new divisor 1169 and the new remainder 79, and apply the division lemma to get
1169 = 79 x 14 + 63
We consider the new divisor 79 and the new remainder 63,and apply the division lemma to get
79 = 63 x 1 + 16
We consider the new divisor 63 and the new remainder 16,and apply the division lemma to get
63 = 16 x 3 + 15
We consider the new divisor 16 and the new remainder 15,and apply the division lemma to get
16 = 15 x 1 + 1
We consider the new divisor 15 and the new remainder 1,and apply the division lemma to get
15 = 1 x 15 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 8262 and 7093 is 1
Notice that 1 = HCF(15,1) = HCF(16,15) = HCF(63,16) = HCF(79,63) = HCF(1169,79) = HCF(7093,1169) = HCF(8262,7093) .
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Frequently Asked Questions on HCF of 8262, 7093 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 8262, 7093?
Answer: HCF of 8262, 7093 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 8262, 7093 using Euclid's Algorithm?
Answer: For arbitrary numbers 8262, 7093 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.